The number of red balls in an thatcontains n balls is a
random variable that is equally likely to beany of the values
0,1,2, n. the n balls are then randomlyremoved one at a time.
lek yk denote the number of red ballsin the first k selections,
k=1, 2, .
a. find p(yn = j), j = 0, 1, n
b. find p(yn-1 =j)
c. what do you think is the value ofp(yk
=j)
d. verify your answer to part c by abackward induction
argument.